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100221000210 = 23251398011271
BaseRepresentation
bin101110101010110100…
…0110001101000010010
3100120200120111022112200
41131111220301220102
53120223034001320
6114012455504030
710145366305662
oct1352550615022
9316616438480
10100221000210
113955a161901
121750b988016
1395b253a4b6
144bca54c1a2
152918841290
hex1755a31a12

100221000210 has 48 divisors (see below), whose sum is σ = 262449270720. Its totient is φ = 26533326240.

The previous prime is 100221000179. The next prime is 100221000227. The reversal of 100221000210 is 12000122001.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 100221000192 and 100221000201.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3993126 + ... + 4018145.

It is an arithmetic number, because the mean of its divisors is an integer number (5467693140).

Almost surely, 2100221000210 is an apocalyptic number.

100221000210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100221000210 is an abundant number, since it is smaller than the sum of its proper divisors (162228270510).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

100221000210 is a wasteful number, since it uses less digits than its factorization.

100221000210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8011423 (or 8011420 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 100221000210 its reverse (12000122001), we get a palindrome (112221122211).

The spelling of 100221000210 in words is "one hundred billion, two hundred twenty-one million, two hundred ten", and thus it is an aban number.

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 139 278 417 695 834 1251 1390 2085 2502 4170 6255 12510 8011271 16022542 24033813 40056355 48067626 72101439 80112710 120169065 144202878 240338130 360507195 721014390 1113566669 2227133338 3340700007 5567833345 6681400014 10022100021 11135666690 16703500035 20044200042 33407000070 50110500105 100221000210